Generalized zeros and nonpositivity of energy functionals associated with half-linear even order difference equations

• Autoři: DOŠLÝ Ondřej
• Rok publikování: 2015
• Druh: Článek ve sborníku
• Konference: Difference equations, discrete dynamical systems and applications
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: http://dx.doi.org/10.1007/978-3-319-24747-2_6
• Doi: http://dx.doi.org/10.1007/978-3-319-24747-2_6
• Obor: Obecná matematika
• Klíčová slova: Generalized zero; energy functional; focal point; even order half-linear difference equation
• Popis: We investigate the relationship between oscillatory properties of half-linear even order difference equations and nonpositivity of the associated energy functionals. We convert the investigated difference equation into a Hamiltonian type difference system and using this transformation we establish our main result which says that the existence of two (or more) generalized zeros of a solution of the investigated difference equation implies that the corresponding energy functional attains a nonpositive value.

Související projekty

• Diferenční rovnice a dynamické rovnice na time scales III